86780180 has 48 divisors (see below), whose sum is σ = 189922320. Its totient is φ = 33266688.

The previous prime is 86780179. The next prime is 86780233. The reversal of 86780180 is 8108768.

It can be written as a sum of positive squares in 8 ways, for example, as 3678724 + 83101456 = 1918^2 + 9116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90584 + ... + 91536.

It is an arithmetic number, because the mean of its divisors is an integer number (3956715).

Almost surely, 2^86780180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86780180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94961160).

86780180 is an abundant number, since it is smaller than the sum of its proper divisors (103142140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86780180 is a wasteful number, since it uses less digits than its factorization.

86780180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 86780180 is about 9315.5880114999. The cubic root of 86780180 is about 442.7312547388.

The spelling of 86780180 in words is "eighty-six million, seven hundred eighty thousand, one hundred eighty".